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Finding the Fourth Proportional to 288,364.08, 397,938.24 and 161,041.44

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Solution

The fourth proportional to 288,364.08, 397,938.24 and 161,041.44 is: 222,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,364.08 : 397,938.24 = 161,041.44 : x
  2. Step 2: Convert to fraction form
    288,364.08/397,938.24 = 161,041.44/x
  3. Step 3: Cross multiply
    288,364.08x = 397,938.24 × 161,041.44
  4. Step 4: Simplify right side
    288,364.08x = 64,084,547,200.67
  5. Step 5: Solve for x
    x = 64,084,547,200.67/288,364.08
  6. Step 6: Final answer
    x = 222,234.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.